Bibliography of Simon Willerton
You know that
I write slowly. This is chiefly because I am never satisfied until
I have said as much as possible in a few words, and writing briefly
takes far more time than writing at length.
Karl Friedrich
Gauss
Karl Friedrich Gauss
Talks
- Two 2-traces
September 2008
Preprints
- Heuristic and computer calculations for the magnitude of metric spaces,
arXiv:0910.5500. [A version with slightly better graphics.] - On the asymptotic magnitude of subsets of Euclidean space (with T.Leinster),
arXiv:0908.1582. - The Mukai pairing, I: a categorical approach (with A.Caldararu),
arXiv:0707.2052. - On the Rozansky-Witten weight systems (with J.Roberts),
math.DG/0602653. [See also Justin Roberts' talk.]
Research Publications
- A diagrammatic approach to Hopf monads
[For less wide typesetting style see arXiv version.]
Arabian Journal of Science and Engineering C - Theme Issue "Interactions of algebraic and coalgebraic structures (theory and applications)" December 2008; Vol. 33, Number 2C math/0807.0658 - The twisted Drinfeld double of a finite group via gerbes and finite groupoids Algebraic & Geometric Topology 8 (2008) 1419-1457 math.QA/0503266
-
Gerbes and Homotopy Quantum Field Theories (with U.Bunke and P.Turner)
Algebr. Geom. Topol. 4 (2004) 407-437 math/0201116 - Homotopy quantum field
theories and related ideas (with M.Brightwell and P.Turner)
Int. J. Modern Phys. A 18 Supplement (2003) 115-122. -
An almost-integral universal Vassiliev invariant of knots
Algebraic and Geometric Topology 2 (2002) paper no. 29, 649-664 math/0105190 -
On the first two Vassiliev invariants,
Experimental Mathematics (2002). - Free groups and finite type invariants
of pure braids (with J.Mostovoy)
Math. Proc. Camb. Phil. Soc. 132 (2001) 117-130. -
The Kontsevich integral and algebraic structures on the space of diagrams,
Knots in Hellas '98, Series on Knots and Everything vol 24, World Scientific, 2000, 530-546. - Vassiliev invariants
as polynomials,
Knot Theory, Banach Centre Publications 42 (1998) 457-463. - A combinatorial half-integration from weight system to
Vassiliev knot invariant,
J. Knot Theory Ramifications, 7 no. 4 (1998) 519-526. - Vassiliev invariants and the Hopf algebra of chord diagrams,
Math. Proc. Camb. Phil. Soc., 119 (1996) 55-65.
Popularizations
- A topological tie-in,
Nature 368 103-104, 10 March 1994.
Unpublished
- Vassiliev invariants for knots,
Essay for Part III of the Cambridge Mathematical Tripos, May 1993. A survey of Bar-Natan's paper On the Vassiliev knot invariants, which contained some additional work of my own. - On the Vassiliev invariants for knots and for pure braids,
(official abstract) Edinburgh University PhD Thesis, July 1997. This contains material from the above papers together with ideas on the relationship between Vassiliev invariants for pure braids and de Rham homotopy theory.